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224916562208 = 2513264492
BaseRepresentation
bin1101000101111000010…
…0100110000100100000
3210111112211012012011202
43101132010212010200
512141112114442313
6251154130300332
722151433143342
oct3213604460440
9714484165152
10224916562208
1187428599178
12377101276a8
1318295490600
14ac59349292
155cb5b64558
hex345e126120

224916562208 has 54 divisors (see below), whose sum is σ = 479560871979. Its totient is φ = 103791547392.

The previous prime is 224916562201. The next prime is 224916562243. The reversal of 224916562208 is 802265619422.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 160406658064 + 64509904144 = 400508^2 + 253988^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=335348.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (224916562201) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 34872968 + ... + 34879416.

Almost surely, 2224916562208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224916562208

224916562208 is an abundant number, since it is smaller than the sum of its proper divisors (254644309771).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

224916562208 is an frugal number, since it uses more digits than its factorization.

224916562208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12934 (or 6464 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 47.

The spelling of 224916562208 in words is "two hundred twenty-four billion, nine hundred sixteen million, five hundred sixty-two thousand, two hundred eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 208 338 416 676 1352 2704 5408 6449 12898 25796 51592 83837 103184 167674 206368 335348 670696 1089881 1341392 2179762 2682784 4359524 8719048 17438096 34876192 41589601 83179202 166358404 332716808 540664813 665433616 1081329626 1330867232 2162659252 4325318504 7028642569 8650637008 14057285138 17301274016 28114570276 56229140552 112458281104 224916562208